A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
---|---|---|---|---|---|---|
(a>(v|~(~(((v|v)|v)))))
|
~(~(((e&a)|~(e))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(v)&(e&((v&v)|(v|e))))
|
~((e&v))
| 1 | 1 | 1 | 0 |
entailment
|
(((~((v|e))|(v>e))&(a&~(a)))|(a&v))
|
(((v|a)>~(a))>(v|(v&e)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(v)&(e&((v&v)|(v|e))))
|
(((v|a)>~(a))>(v|(v&e)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((v|e))|(v>e))&(a&~(a)))|(a&v))
|
~((e&v))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(e)>(v>e))&v)
|
~((~(~(~((e&(a|v)))))&v))
| 1 | 0 | 0 | 0 |
entailment
|
(e>(~((v>e))&v))
|
(~(((a|e)&(v|e)))|~((a>~(v))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(e)>(v>e))&v)
|
(~(((a|e)&(v|e)))|~((a>~(v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(e>(~((v>e))&v))
|
~((~(~(~((e&(a|v)))))&v))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e&a)|(v|e))&~(e))
|
~(~((((e|e)&a)|v)))
| 1 | 1 | 1 | 1 |
entailment
|
~((((v&v)>e)>e))
|
(~(e)&((v>v)>((v>a)|a)))
| 1 | 0 | 0 | 0 |
entailment
|
(((e&a)|(v|e))&~(e))
|
(~(e)&((v>v)>((v>a)|a)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((v&v)>e)>e))
|
~(~((((e|e)&a)|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e&(v&((v>a)&v)))>~(e))>(e&(v|~(v))))
|
((((v&a)&(e|~(a)))|(e>e))>((v|(a|e))|v))
| 1 | 1 | 1 | 0 |
entailment
|
((e>e)>~(((v|v)|(((e&e)&a)&((v|a)|v)))))
|
(((e&((e>a)>e))&v)>((a&v)&~(((e|a)|v))))
| 1 | 1 | 1 | 0 |
entailment
|
(((e&(v&((v>a)&v)))>~(e))>(e&(v|~(v))))
|
(((e&((e>a)>e))&v)>((a&v)&~(((e|a)|v))))
| 0 | 1 | 1 | 0 |
not entailment
|
((e>e)>~(((v|v)|(((e&e)&a)&((v|a)|v)))))
|
((((v&a)&(e|~(a)))|(e>e))>((v|(a|e))|v))
| 0 | 1 | 1 | 0 |
not entailment
|
((a&((v>v)>((e&a)>v)))&e)
|
(e|a)
| 1 | 1 | 1 | 1 |
entailment
|
(~(v)&(a>(v&~((a>a)))))
|
~(((a&v)&v))
| 1 | 1 | 1 | 1 |
entailment
|
((a&((v>v)>((e&a)>v)))&e)
|
~(((a&v)&v))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(v)&(a>(v&~((a>a)))))
|
(e|a)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((e>e)>((a|e)|a))|~(((a>e)>(e|v)))))
|
~(~((((v&e)|a)>e)))
| 1 | 1 | 1 | 0 |
entailment
|
~((a>((v|((e|(e>a))&v))&(v&(v>a)))))
|
~(((e>v)&((e&a)|(~(a)|v))))
| 1 | 1 | 1 | 1 |
entailment
|
~((((e>e)>((a|e)|a))|~(((a>e)>(e|v)))))
|
~(((e>v)&((e&a)|(~(a)|v))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((a>((v|((e|(e>a))&v))&(v&(v>a)))))
|
~(~((((v&e)|a)>e)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(e))
|
(e|(e&a))
| 1 | 1 | 0 | 0 |
entailment
|
(a|(v|a))
|
(a|v)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(e))
|
(a|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(a|(v|a))
|
(e|(e&a))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(i)&(i|((i|i)>i)))
|
~((~(i)>((i&i)|i)))
| 1 | 1 | 1 | 1 |
entailment
|
(((i&i)&i)&i)
|
(~(((i|(i&i))|i))>i)
| 1 | 0 | 1 | 1 |
entailment
|
(~(i)&(i|((i|i)>i)))
|
(~(((i|(i&i))|i))>i)
| 0 | 1 | 1 | 1 |
not entailment
|
(((i&i)&i)&i)
|
~((~(i)>((i&i)|i)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((y>(v&x)))
|
((h|(((y&(m|n))>(x>(v|(v&v))))>y))|p)
| 1 | 0 | 0 | 0 |
entailment
|
(o&(h>h))
|
((((~(b)|p)|(y|(b|(f|f))))>o)|~(~(v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((y>(v&x)))
|
((((~(b)|p)|(y|(b|(f|f))))>o)|~(~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&(h>h))
|
((h|(((y&(m|n))>(x>(v|(v&v))))>y))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
(o&((h>(m>x))>((m|~(m))&y)))
|
((~(v)|(x|y))|((n|m)|~(~((m|~(f))))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(n|~(m)))
|
((n&b)>((~(h)>((f&v)|m))>h))
| 1 | 0 | 0 | 0 |
entailment
|
(o&((h>(m>x))>((m|~(m))&y)))
|
((n&b)>((~(h)>((f&v)|m))>h))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(n|~(m)))
|
((~(v)|(x|y))|((n|m)|~(~((m|~(f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&~(b))&y)
|
(o|~(b))
| 1 | 1 | 1 | 1 |
entailment
|
((o>(o&b))&~(o))
|
((~((n|o))|n)|(o&p))
| 1 | 0 | 0 | 0 |
entailment
|
((o&~(b))&y)
|
((~((n|o))|n)|(o&p))
| 0 | 0 | 0 | 0 |
not entailment
|
((o>(o&b))&~(o))
|
(o|~(b))
| 0 | 1 | 1 | 0 |
not entailment
|
(m&x)
|
(m|(y|y))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(~((y|f))|(~(h)>b)))
|
((h&(n>h))|f)
| 1 | 1 | 0 | 0 |
entailment
|
(m&x)
|
((h&(n>h))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(~((y|f))|(~(h)>b)))
|
(m|(y|y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((b>((m&n)>v)))
|
(~(n)>h)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((~(p)>~(~(~(((x&y)&x))))))>v))
|
((((x>~(h))>~((f>v)))>y)|o)
| 1 | 1 | 0 | 0 |
entailment
|
~((b>((m&n)>v)))
|
((((x>~(h))>~((f>v)))>y)|o)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~(p)>~(~(~(((x&y)&x))))))>v))
|
(~(n)>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f&(y&m))|((n&~(b))|x)))
|
((x>(o|(p>h)))|y)
| 1 | 1 | 0 | 0 |
entailment
|
((m&p)&x)
|
((x|((v&n)&v))|o)
| 1 | 0 | 0 | 0 |
entailment
|
~(((f&(y&m))|((n&~(b))|x)))
|
((x|((v&n)&v))|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((m&p)&x)
|
((x>(o|(p>h)))|y)
| 0 | 0 | 0 | 0 |
not entailment
|
(n&~((p&(x>((y|o)>m)))))
|
(y|(~((m&m))|(b|n)))
| 1 | 1 | 0 | 0 |
entailment
|
(((v|~(y))&(x&o))&(f&(~(o)>x)))
|
((o>y)|((b&h)|(f|m)))
| 1 | 1 | 0 | 0 |
entailment
|
(n&~((p&(x>((y|o)>m)))))
|
((o>y)|((b&h)|(f|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v|~(y))&(x&o))&(f&(~(o)>x)))
|
(y|(~((m&m))|(b|n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((~(n)|(p&p))|(f&(y>n))))>(p|f)))
|
((~((f>y))>(n>(((n&n)|b)&o)))|(p&v))
| 1 | 1 | 0 | 0 |
entailment
|
~((m>b))
|
((b>y)>m)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((~(n)|(p&p))|(f&(y>n))))>(p|f)))
|
((b>y)>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((m>b))
|
((~((f>y))>(n>(((n&n)|b)&o)))|(p&v))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((f>~(((v>o)|(f>f)))))|((m|v)|n)))
|
~(((((y>x)>n)|(b&~(f)))&((n|m)|(m&h))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(x))>(b|m)))
|
(f|(~(x)>(~((h&x))>(h&o))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((f>~(((v>o)|(f>f)))))|((m|v)|n)))
|
(f|(~(x)>(~((h&x))>(h&o))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(x))>(b|m)))
|
~(((((y>x)>n)|(b&~(f)))&((n|m)|(m&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|f)>(~(n)&x))
|
((((h|(n&b))&x)>(y>o))|(y>(h|(v&(y&n)))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&(v>(x|n)))
|
~(~(((m&y)|(~((y&(m|x)))>m))))
| 1 | 0 | 0 | 0 |
entailment
|
((x|f)>(~(n)&x))
|
~(~(((m&y)|(~((y&(m|x)))>m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(v>(x|n)))
|
((((h|(n&b))&x)>(y>o))|(y>(h|(v&(y&n)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x|x)
|
(~((m|p))>x)
| 1 | 0 | 0 | 0 |
entailment
|
((n&y)&~(((o>(v&v))|b)))
|
((b>f)|(~(((n&y)|y))>((~(v)&h)>o)))
| 1 | 0 | 0 | 0 |
entailment
|
(x|x)
|
((b>f)|(~(((n&y)|y))>((~(v)&h)>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&y)&~(((o>(v&v))|b)))
|
(~((m|p))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(~((n&v))&v))
|
(h|(p|((((x>y)>b)&((v|p)&p))&y)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(y)|o))
|
(((((p>m)>(o>f))>h)>((f>(f&y))|(b&x)))&y)
| 1 | 0 | 0 | 0 |
entailment
|
(h&(~((n&v))&v))
|
(((((p>m)>(o>f))>h)>((f>(f&y))|(b&x)))&y)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(y)|o))
|
(h|(p|((((x>y)>b)&((v|p)&p))&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(f)&(~(m)>(n>b)))
|
((~((o>(o>m)))>(b|p))|~(f))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((x>(n&n))|f)>f)))
|
(~((~(h)>~(~(~(~(x))))))>f)
| 1 | 0 | 0 | 0 |
entailment
|
(~(f)&(~(m)>(n>b)))
|
(~((~(h)>~(~(~(~(x))))))>f)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((x>(n&n))|f)>f)))
|
((~((o>(o>m)))>(b|p))|~(f))
| 0 | 0 | 0 | 0 |
not entailment
|
((e|~(e))>e)
|
(((e&e)&e)&e)
| 1 | 1 | 1 | 1 |
entailment
|
((e>e)&~(e))
|
~(((e|(e|((e>e)>e)))&e))
| 1 | 0 | 1 | 1 |
entailment
|
((e|~(e))>e)
|
~(((e|(e|((e>e)>e)))&e))
| 0 | 0 | 1 | 1 |
not entailment
|
((e>e)&~(e))
|
(((e&e)&e)&e)
| 0 | 1 | 1 | 1 |
not entailment
|
(e|~(~(~((e>~(e))))))
|
((~(e)>e)|(e&e))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~((e&(e>e)))>~(e))>(e&(e>e))))
|
~(((e|e)|e))
| 1 | 1 | 1 | 1 |
entailment
|
(e|~(~(~((e>~(e))))))
|
~(((e|e)|e))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~((e&(e>e)))>~(e))>(e&(e>e))))
|
((~(e)>e)|(e&e))
| 0 | 1 | 1 | 1 |
not entailment
|
(e&((e>e)>((e|~(e))|((e&~(e))>e))))
|
((((e&e)&e)>(e>e))&((e&e)&e))
| 1 | 1 | 1 | 1 |
entailment
|
(((e|~(e))|~(e))>(~(e)&~(e)))
|
~(((e&((e>(e|~(e)))>e))&(e|e)))
| 1 | 1 | 1 | 1 |
entailment
|
(e&((e>e)>((e|~(e))|((e&~(e))>e))))
|
~(((e&((e>(e|~(e)))>e))&(e|e)))
| 0 | 1 | 1 | 1 |
not entailment
|
(((e|~(e))|~(e))>(~(e)&~(e)))
|
((((e&e)&e)>(e>e))&((e&e)&e))
| 0 | 1 | 1 | 1 |
not entailment
|
(e&e)
|
(e&(((e>(e&e))>e)&(~((e|e))>e)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(e)|(e>e))&~((e&(e&e))))
|
~((((e|e)>(((e&e)>e)>e))&(e&(e&e))))
| 1 | 0 | 1 | 1 |
entailment
|
(e&e)
|
~((((e|e)>(((e&e)>e)>e))&(e&(e&e))))
| 0 | 0 | 1 | 0 |
not entailment
|
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